Export UV mapped texture maps to images?
The approach I am taking now is to bake Diffuse with only Color Pass turned on, i.e., without Direct or Indirect. What I get looks like "the pixel-shifted-around versions of the original diffuse map", and it definitely matches the UV coordinates in the .obj file because it's baked. Hence, it serves my purposes for now.

That said, I am not sure if this is really the best way or even the correct way of doing this thing.